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Unusual Microwave Response of Dirac Quasiparticles in Graphene
Open accessAbstract
Recent experiments have proven that the quasiparticles in graphene obey a Dirac equation. Here we show that microwaves are an excellent probe of their unusual dynamics. When the chemical potential is small, the intraband response can exhibit a cusp around zero frequency Omega and this unusual line shape changes to Drude-like by increasing the chemical potential |mu|, with width linear in mu. The interband contribution at T=0 is a constant independent of Omega with a lower cutoff at 2mu. Distinctly different behavior occurs if interaction-induced phenomena in graphene cause an opening of a gap Delta. At a large magnetic field B, the diagonal and Hall conductivities at small Omega become independent of B but remain nonzero and show a structure associated with the lowest Landau level. This occurs because in the Dirac theory the energy of this level, E0 = +/-Delta, is field independent in sharp contrast to the conventional case.
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Cites
Two-dimensional gas of massless Dirac fermions in graphene
Novoselov, K. S., Geim, A. K., Morozov, S. V., Jiang, D., Katsnelson, M. I., Grigorieva, I. V., Dubonos, S. V., & Firsov, A. A. (2005) · Nature · doi:10.1038/nature04233 · Cited by 21,611
Experimental observation of the quantum Hall effect and Berry's phase in graphene
Zhang, Y., Tan, Y.-W., Stormer, H. L., & Kim, P. (2005) · Nature · doi:10.1038/nature04235 · Cited by 13,435
Berger, C., Song, Z., Li, T., Li, X., Ogbazghi, A. Y., Feng, R., Dai, Z., Marchenkov, A. N., Conrad, E. H., First, P. N., et al. (2004) · The Journal of Physical Chemistry B · doi:10.1021/jp040650f · Cited by 3,548
Electronic properties of disordered two-dimensional carbon
Peres, N. M. R., Guinea, F., & Castro Neto, A. H. (2006) · Physical Review B · doi:10.1103/physrevb.73.125411 · Cited by 1,445
Coulomb Oscillations and Hall Effect in Quasi-2D Graphite Quantum Dots
Bunch, J. S., Yaish, Y., Brink, M., Bolotin, K., & McEuen, P. L. (2005) · Nano Letters · doi:10.1021/nl048111+ · Cited by 312
Cited by
Graphene and Graphene Oxide: Synthesis, Properties, and Applications
Zhu, Y., Murali, S., Cai, W., Li, X., Suk, J. W., Potts, J. R., & Ruoff, R. S. (2010) · Advanced Materials · doi:10.1002/adma.201001068 · Cited by 10,522
Fine Structure Constant Defines Visual Transparency of Graphene
Nair, R. R., Blake, P., Grigorenko, A. N., Novoselov, K. S., Booth, T. J., Stauber, T., Peres, N. M. R., & Geim, A. K. (2008) · Science · doi:10.1126/science.1156965 · Cited by 9,084
Gate-Variable Optical Transitions in Graphene
Wang, F., Zhang, Y., Tian, C., Girit, C., Zettl, A., Crommie, M., & Shen, Y. R. (2008) · Science · doi:10.1126/science.1152793 · Cited by 1,645
Bao, Q., Zhang, H., Wang, B., Ni, Z., Lim, C. H. Y. X., Wang, Y., Tang, D. Y., & Loh, K. P. (2011) · Nature Photonics · doi:10.1038/nphoton.2011.102 · Cited by 1,109
Universal optical conductance of graphite.
Kuzmenko, A. B., van Heumen, E., Carbone, F., & van der Marel, D. (2008) · Physical Review Letters · doi:10.1103/physrevlett.100.117401 · Cited by 1,026
Metadata
- Authors
- Gusynin, V. P., Sharapov, S. G., & Carbotte, J. P.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 2006-06-30
- Volume
- 96
- Issue
- 25
- Pages
- 256802-256802
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2095122888
- Cited by
- 546
- References
- 5
- FWCI
- 17.58
- Type
- journal article
- Language
- en
- Open access
- green
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